Partial difference equations are difference equations that involve functions with two or more independent variables.

In this paper, we consider the higher order partial difference equations of the form

Liu [7,8] studied the oscillatory behaviour of solutions of the partial difference equations of the forms

Huang [10] investigated existence of positive solutions for nonlinear higher order neutral partial difference equations of the form

Zhou [2] studied existence of bounded and unbounded nonoscillatory solutions for partial difference equations of the form

Existence of bounded and unbounded non-oscillatory solutions for partial difference equations.

The oscillation and stability of delay partial difference equations.

Necessary and sufficient conditions for oscillations of delay partial difference equations.

Partial difference equations that model diffusion arise naturally from the study of mathematical physics problems [3] and mathematical biology problems [4].

Lewy, On the partial difference equations of mathematical physics, IBM J.

During the last years, several achievements have been done on the area of

partial difference equations, using so-called basic difference operators, which are closely related to the time scales setting, see for instance [2,6].